Book Cover of Foundations of Geometry

Foundations of Geometry

by David Hilbert

The German mathematician David Hilbert was one of the most influential mathematicians of the 19th/early 20th century. Hilbert's 20 axioms were first proposed by him in 1899 in his book Grundlagen der Geometrie as the foundation for a modern treatment of Euclidean geometry. Hilbert's axiom system is constructed with six primitive notions: the three primitive terms point, line, and plane, and the three primitive relations Betweenness (a ternary relation linking points), Lies on (or Containment, three binary relations between the primitive terms), and Congruence (two binary relations, one linking line segments and one linking angles).

Book Details

Language

English

Original Language

German

Published In

1899

Author

David Hilbert image

David Hilbert was a German mathematician and one of the most influential mathematicians of the 19th and early 20th centuries. Hilbert discovered and developed a broad range of fundamental ideas in man...

More on David Hilbert

Listen/Download Audiobook

Read by:
00:00
Playback Speed 1.0
00:00
  • Select Speed

Related books

Cosmic Castaway Cover image

Cosmic Castaway by Carl Richard Jacobi

"Within a year Earth would be a vassal world, with the Sirian invaders triumphant. Only Standish, Earth's Defense Engineer, could halt that last victo...

Short Account of the History of Mathematics Cover image

Short Account of the History of Mathematics by W. W. Rouse Ball

Dive into the captivating realm of mathematical evolution with "A Short Account of the History of Mathematics" by Walter William Rouse Ball. In this i...

Star Ship Cover image

Star Ship by Poul William Anderson

The strangest space-castaways of all! The Terrans left their great interstellar ship unmanned in a tight orbit around Khazak—descended, all of them, i...

Treatise on Light  Cover image

Treatise on Light by Christiaan Huygens

Treatise on Light was published in 1690 and is probably the largest scientific volume on light published before Newton's Opticks. The book explains ho...

The Boys' and Girls' Pliny Vol. 4 Cover image

The Boys' and Girls' Pliny Vol. 4 by Pliny the Elder

The Natural History of Pliny the Elder is one of the largest single works to have survived from the Roman Empire. The full work consists of 37 books,...

A Theory of Monads: Outlines of the Philosophy of the Principle of Relativity Cover image

A Theory of Monads: Outlines of the Philosophy of the Principle of Relativity by Herbert Wildon Carr

The main purpose of this book is to show the historical relations of the new principle to the old philosophical problems and to the classical theories...

Mr. Spaceship  Cover image

Mr. Spaceship by Philip K. Dick

"Mr. Spaceship" is a science fiction short story by American writer Philip K. Dick, first published in 1953 in Imagination in January 1953, and later...

The ABC of Relativity Cover image

The ABC of Relativity by Bertrand Russell

It provides an accessible introduction to the complex concepts of relativity theory, which revolutionized our understanding of space, time, and the na...

Popular Lectures on Scientific Subjects Cover image

Popular Lectures on Scientific Subjects by Hermann von Helmholtz

This presents a summary of many of Hemholtz's areas of research. He investigated the workings of the brain in its appreciation of art and music, and a...

A Voyage to the Moon  Cover image

A Voyage to the Moon by Cyrano de Bergerac

Cyrano attempts to reach the Moon to prove there is a civilization that sees the Earth as its own moon. He launches himself into the sky from Paris by...

Reviews for Foundations of Geometry

No reviews posted or approved, yet...